When dividing two complex numbers you will follow basically the steps explained for rationalizing the denominator of a rational expression, as the fractions cannot have imaginary numbers in their denominator.

(Continued from above)
Remember:
• the product of two complex numbers is a complex number.
• the product of a complex number and its conjugate is a real number, and is always positive.Division is slightly trickier, because you want answer to have the form a + bi and not that of a ratio of such things (though a and b can be ratios).To get this you
use the wonderful fact that any complex number multiplied by its complex conjugate (what you get by reversing the sign of its b) is a real number. You will follow basically the steps explained for rationalizing the denominator of a rational expression, as the fractions cannot have imaginary numbers in their denominator. Division is
as follows: z1z2 = (a1a2 + b1b2)/ (a22 + b22) + i(-a1b2 + b2a1) /(a22 + b22)
For example,
(3 + i)/(2 + 3i) = (9 – 7i)/13.

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